a Answer False, It will never contain the second skew line Explanation Given information: A plane contains one of the two skew lines Since, skew lines never intersect and are not parallel. Hence, it will never contain the other b To determine The following statement “The given line and given plane never meet, if they both are parallel” is true or not. Answer True, The line and plane will never meet Explanation Given information: The given and plane will never meet, if they are parallel Parallel means never meet even on extension c To determine Indicate whether statement is true of false, if two parallel lines are in different planes, the planes are parallel Answer True but not always the given planes are parallel Explanation Given information: Two lines are in different planes Two planes are parallel, sometimes it parallel lines are lying in those planes d To determine Indicate whether statement is true of false, the two planes are parallel, if a line is perpendicular to two planes. Answer True, both the given planes will be parallel Explanation Given information: A given line is perpendicular to two planes The given line can be seen lying in two planes if both the given planes are parallel e To determine Indicate whether statement is true of false, the given plane and line are parallel to each other, if a plane and a line not in the plane are each perpendicular to the same line Answer True, they will be always parallel Explanation Given information: The given plane and a line, not in the plane are each perpendicular to the same line parallel to each other The given plane and a line which are not in the plane are each perpendicular to the same line is only possible when they are parallel to each other

91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

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Question

Chapter 6.3, Problem 1PSA

To determine

Indicate whether statement is true of false, if a plane contains one of the two skew lines, it contains the other.

Expert Solution

Answer to Problem 1PSA

False, It will never contain the second skew line

Explanation of Solution

Given information:

A plane contains one of the two skew lines

Since, skew lines never intersect and are not parallel.

Hence, it will never contain the other

To determine

The following statement “The given line and given plane never meet, if they both are parallel” is true or not.

Expert Solution

Answer to Problem 1PSA

True, The line and plane will never meet

Explanation of Solution

Given information:

The given and plane will never meet, if they are parallel

Parallel means never meet even on extension

To determine

Indicate whether statement is true of false, if two parallel lines are in different planes, the planes are parallel

Expert Solution

Answer to Problem 1PSA

True but not always the given planes are parallel

Explanation of Solution

Given information:

Two lines are in different planes

Two planes are parallel, sometimes it parallel lines are lying in those planes

To determine

Indicate whether statement is true of false, the two planes are parallel, if a line is perpendicular to two planes.

Expert Solution

Answer to Problem 1PSA

True, both the given planes will be parallel

Explanation of Solution

Given information:

A given line is perpendicular to two planes

The given line can be seen lying in two planes if both the given planes are parallel

To determine

Indicate whether statement is true of false, the given plane and line are parallel to each other, if a plane and a line not in the plane are each perpendicular to the same line

Expert Solution

Answer to Problem 1PSA

True, they will be always parallel

Explanation of Solution

Given information:

The given plane and a line, not in the plane are each perpendicular to the same line parallel to each other

The given plane and a line which are not in the plane are each perpendicular to the same line is only possible when they are parallel to each other

Chapter 6.2, Problem 19PSC

Chapter 6.3, Problem 2PSA

Chapter 6 Solutions

Geometry For Enjoyment And Challenge

Ch. 6.1 - Prob. 1PSA Ch. 6.1 - Prob. 2PSA Ch. 6.1 - Prob. 3PSA Ch. 6.1 - Prob. 4PSA Ch. 6.1 - Prob. 5PSA Ch. 6.1 - Prob. 6PSA Ch. 6.1 - Prob. 7PSB Ch. 6.1 - Prob. 8PSB Ch. 6.1 - Prob. 9PSB Ch. 6.1 - Prob. 10PSB

Ch. 6.1 - Prob. 11PSB Ch. 6.1 - Prob. 12PSB Ch. 6.1 - Prob. 13PSB Ch. 6.1 - Prob. 14PSB Ch. 6.1 - Prob. 15PSC Ch. 6.1 - Prob. 16PSC Ch. 6.1 - Prob. 17PSC Ch. 6.1 - Prob. 18PSC Ch. 6.2 - Prob. 1PSA Ch. 6.2 - Prob. 2PSA Ch. 6.2 - Prob. 3PSA Ch. 6.2 - Prob. 4PSA Ch. 6.2 - Prob. 5PSA Ch. 6.2 - Prob. 6PSA Ch. 6.2 - Prob. 7PSB Ch. 6.2 - Prob. 8PSB Ch. 6.2 - Prob. 9PSB Ch. 6.2 - Prob. 10PSB Ch. 6.2 - Prob. 11PSB Ch. 6.2 - Prob. 12PSB Ch. 6.2 - Prob. 13PSB Ch. 6.2 - Prob. 14PSC Ch. 6.2 - Prob. 15PSC Ch. 6.2 - Prob. 16PSC Ch. 6.2 - Prob. 17PSC Ch. 6.2 - Prob. 18PSC Ch. 6.2 - Prob. 19PSC Ch. 6.3 - Prob. 1PSA Ch. 6.3 - Prob. 2PSA Ch. 6.3 - Prob. 3PSA Ch. 6.3 - Prob. 4PSA Ch. 6.3 - Prob. 5PSA Ch. 6.3 - Prob. 6PSB Ch. 6.3 - Prob. 7PSB Ch. 6.3 - Prob. 8PSB Ch. 6.3 - Prob. 9PSB Ch. 6.3 - Prob. 10PSC Ch. 6.3 - Prob. 11PSC Ch. 6 - Prob. 1RP Ch. 6 - Prob. 2RP Ch. 6 - Prob. 3RP Ch. 6 - Prob. 4RP Ch. 6 - Prob. 5RP Ch. 6 - Prob. 6RP Ch. 6 - Prob. 7RP Ch. 6 - Prob. 8RP Ch. 6 - Prob. 9RP Ch. 6 - Prob. 10RP Ch. 6 - Prob. 11RP Ch. 6 - Prob. 12RP Ch. 6 - Prob. 13RP Ch. 6 - Prob. 14RP Ch. 6 - Prob. 15RP Ch. 6 - Prob. 16RP Ch. 6 - Prob. 1CR Ch. 6 - Prob. 2CR Ch. 6 - Prob. 3CR Ch. 6 - Prob. 4CR Ch. 6 - Prob. 5CR Ch. 6 - Prob. 6CR Ch. 6 - Prob. 7CR Ch. 6 - Prob. 8CR Ch. 6 - Prob. 9CR Ch. 6 - Prob. 10CR Ch. 6 - Prob. 11CR Ch. 6 - Prob. 12CR Ch. 6 - Prob. 13CR Ch. 6 - Prob. 14CR Ch. 6 - Prob. 15CR Ch. 6 - Prob. 16CR Ch. 6 - Prob. 17CR Ch. 6 - Prob. 18CR Ch. 6 - Prob. 19CR Ch. 6 - Prob. 20CR

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